Name
Title | ||
|---|---|---|
Pile-Up Solutions for Some Systems of Conservation Laws Modelling Dislocation Interaction in Crystals |
Abstract | ||
|---|---|---|
Some continuum models for dislocation interactions in a simple crystal geometry are studied. The simplest models are mixed systems ofconservation laws which are shown to exhibit singularities and instabilities. These are then regularized, leading to parabolic free-boundary problems. In both cases, solutions describing the formation of structures such as dislocation pile-ups are discussed. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1137/S0036139999364347 | SIAM JOURNAL ON APPLIED MATHEMATICS |
Keywords | Field | DocType |
dislocation dynamics,degenerate systems of conservation laws,free-boundary problems,pattern formation | Pile,Pattern formation,Free boundary problem,Dislocation,Gravitational singularity,Partial differential equation,Classical mechanics,Conservation law,Parabola,Physics | Journal |
Volume | Issue | ISSN |
61 | 6 | 0036-1399 |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| A. Carpio | 1 | 20 | 10.04 |
| S. J. Chapman | 2 | 2 | 1.16 |
| J. J. L. Velázquez | 3 | 13 | 8.41 |